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Finding the Fourth Proportional to 2,149.16, 3,224.16 and 763.32

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Solution

The fourth proportional to 2,149.16, 3,224.16 and 763.32 is: 1,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.16 : 3,224.16 = 763.32 : x
  2. Step 2: Convert to fraction form
    2,149.16/3,224.16 = 763.32/x
  3. Step 3: Cross multiply
    2,149.16x = 3,224.16 × 763.32
  4. Step 4: Simplify right side
    2,149.16x = 2,461,065.81
  5. Step 5: Solve for x
    x = 2,461,065.81/2,149.16
  6. Step 6: Final answer
    x = 1,145.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.